Regularity theory for fully nonlinear integro‐differential equations

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Caffarelli, Luis, and Luis Silvestre. “Regularity Theory for Fully Nonlinear integro‐differential Equations”. Communications on Pure and Applied Mathematics, vol. 62, no. 5, 2009, pp. 597-38, https://doi.org/10.1002/cpa.20274.
Caffarelli, L., & Silvestre, L. (2009). Regularity theory for fully nonlinear integro‐differential equations. Communications on Pure and Applied Mathematics, 62(5), 597-638. https://doi.org/10.1002/cpa.20274
Caffarelli, Luis, and Luis Silvestre. “Regularity Theory for Fully Nonlinear integro‐differential Equations”. Communications on Pure and Applied Mathematics 62, no. 5 (2009): 597-638. https://doi.org/10.1002/cpa.20274.
Caffarelli L, Silvestre L. Regularity theory for fully nonlinear integro‐differential equations. Communications on Pure and Applied Mathematics. 2009;62(5):597-638.
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Citations Analysis
Category Category Repetition
Science: Mathematics309
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods189
Science: Mathematics: Probabilities. Mathematical statistics10
Technology: Mechanical engineering and machinery8
Technology: Engineering (General). Civil engineering (General)5
Science: Physics4
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics4
Science: Mathematics: Analysis2
Science: Physics: Atomic physics. Constitution and properties of matter2
Science: Science (General)1
Technology: Technology (General): Industrial engineering. Management engineering1
Science: Physics: Heat: Thermodynamics1
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases1
The category Science: Mathematics 309 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Viscosity Solutions for a System of Integro-PDEs and Connections to Optimal Switching and Control of Jump-Diffusion Processes and was published in 2009. The most recent citation comes from a 2024 study titled Hölder estimates for viscosity solutions of nonlocal equations with variable-order fractional Laplace term. This article reached its peak citation in 2016, with 36 citations. It has been cited in 96 different journals, 10% of which are open access. Among related journals, the Calculus of Variations and Partial Differential Equations cited this research the most, with 30 citations. The chart below illustrates the annual citation trends for this article.
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